40388328 has 96 divisors (see below), whose sum is σ = 119361600. Its totient is φ = 12651264.

The previous prime is 40388323. The next prime is 40388333. The reversal of 40388328 is 82388304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40388323) and next prime (40388333).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40388292 and 40388301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40388323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62101 + ... + 62747.

It is an arithmetic number, because the mean of its divisors is an integer number (1243350).

Almost surely, 2^40388328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40388328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59680800).

40388328 is an abundant number, since it is smaller than the sum of its proper divisors (78973272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40388328 is a wasteful number, since it uses less digits than its factorization.

40388328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40388328 is about 6355.1811933256. The cubic root of 40388328 is about 343.0983463425.

The spelling of 40388328 in words is "forty million, three hundred eighty-eight thousand, three hundred twenty-eight".